6633672 has 64 divisors (see below), whose sum is σ = 17884800. Its totient is φ = 2042880.

The previous prime is 6633667. The next prime is 6633701. The reversal of 6633672 is 2763366.

It is a super-3 number, since 3×6633672³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28854 + ... + 29082.

It is an arithmetic number, because the mean of its divisors is an integer number (279450).

Almost surely, 2^6633672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942400).

6633672 is an abundant number, since it is smaller than the sum of its proper divisors (11251128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6633672 is a wasteful number, since it uses less digits than its factorization.

6633672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 6633672 is about 2575.5915825301. The cubic root of 6633672 is about 187.8962004337.

The spelling of 6633672 in words is "six million, six hundred thirty-three thousand, six hundred seventy-two".